Ultraspherical polynomials and statistics on the m-sphere

The purpose of this note is to establish the connection between the ultraspherical polynomials and distributions on the m-sphere. Certain functions defined on the m-sphere have an ultraspherical decomposition which can be used to advantage. Examples of their use are given.

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Year of publication:	1984
Authors:	Saw, John G.
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 14.1984, 1, p. 105-113
Publisher:	Elsevier
Keywords:	Distributions on the m-sphere directional data ultraspherical polynomials von Mises' distribution Ajne's statistic

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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